1310-Notes-Sec-61-big-filled(1)

# 1310-Notes-Sec-61-big-filled(1) - Math 1310 Section 6.1 2 X...

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Math 1310 Class Notes – Section 6.1, Page 1 of 13 Math 1310 Section 6.1 2 X 2 Linear Systems How many solutions can a system have? In this section, you will learn to solve a system of two linear equations in two variables. You want to find the ordered pair(s) that satisfy both equations. A system can have exactly one solution, zero solutions or infinitely many solutions.

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Math 1310 Class Notes – Section 6.1, Page 2 of 13
Math 1310 Class Notes – Section 6.1, Page 3 of 13 There are three methods you can use to solve systems of equations, graphing, substitution and elimination. We’ll look at graphing first. Example 1: Solve the system by graphing: 5 2 1 x y x y - = =

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Math 1310 Class Notes – Section 6.1, Page 4 of 13 Substitution Next, we’ll work some problems using the substitution method. In these problems, you will solve one of the equations for either x or y , and then substitute the quantity into the other equation.
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